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3001130496 = 293271317421
BaseRepresentation
bin1011001011100001…
…1001111000000000
321202011011020002100
42302320121320000
522121242133441
61213444350400
7134241121410
oct26270317000
97664136070
103001130496
111300072841
126b90a5400
1338a9bbc80
1420681c640
15128718cb6
hexb2e19e00

3001130496 has 480 divisors, whose sum is σ = 11314150848. Its totient is φ = 743178240.

The previous prime is 3001130471. The next prime is 3001130497. The reversal of 3001130496 is 6940311003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001130497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7128366 + ... + 7128786.

Almost surely, 23001130496 is an apocalyptic number.

3001130496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657075424).

3001130496 is an abundant number, since it is smaller than the sum of its proper divisors (8313020352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3001130496 is a wasteful number, since it uses less digits than its factorization.

3001130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3001130496 is about 54782.5747478156. The cubic root of 3001130496 is about 1442.4307094863.

Adding to 3001130496 its reverse (6940311003), we get a palindrome (9941441499).

The spelling of 3001130496 in words is "three billion, one million, one hundred thirty thousand, four hundred ninety-six".